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Finding the Fourth Proportional to 23,872.32, 35,812.80 and 10,730.88

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Solution

The fourth proportional to 23,872.32, 35,812.80 and 10,730.88 is: 16,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.32 : 35,812.80 = 10,730.88 : x
  2. Step 2: Convert to fraction form
    23,872.32/35,812.80 = 10,730.88/x
  3. Step 3: Cross multiply
    23,872.32x = 35,812.80 × 10,730.88
  4. Step 4: Simplify right side
    23,872.32x = 384,302,859.26
  5. Step 5: Solve for x
    x = 384,302,859.26/23,872.32
  6. Step 6: Final answer
    x = 16,098.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.